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Simplifying -3(5x + -11) = 12 + -12x Reorder the terms: -3(-11 + 5x) = 12 + -12x (-11 * -3 + 5x * -3) = 12 + -12x (33 + -15x) = 12 + -12x Solving 33 + -15x = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 33 + -15x + 12x = 12 + -12x + 12x Combine like terms: -15x + 12x = -3x 33 + -3x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 33 + -3x = 12 + 0 33 + -3x = 12 Add '-33' to each side of the equation. 33 + -33 + -3x = 12 + -33 Combine like terms: 33 + -33 = 0 0 + -3x = 12 + -33 -3x = 12 + -33 Combine like terms: 12 + -33 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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